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4003431328 = 251319506507
BaseRepresentation
bin1110111010011111…
…1000001110100000
3101100000011101100101
43232213320032200
531144334300303
61501131232144
7201131414311
oct35647701640
911300141311
104003431328
111774918236
129388a8654
134ba5534a0
1429d9a8608
15186701d1d
hexee9f83a0

4003431328 has 48 divisors (see below), whose sum is σ = 8934801120. Its totient is φ = 1750484736.

The previous prime is 4003431323. The next prime is 4003431331. The reversal of 4003431328 is 8231343004.

It is a junction number, because it is equal to n+sod(n) for n = 4003431296 and 4003431305.

It is not an unprimeable number, because it can be changed into a prime (4003431323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245350 + ... + 261157.

It is an arithmetic number, because the mean of its divisors is an integer number (186141690).

Almost surely, 24003431328 is an apocalyptic number.

It is an amenable number.

4003431328 is an abundant number, since it is smaller than the sum of its proper divisors (4931369792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4003431328 is a wasteful number, since it uses less digits than its factorization.

4003431328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506549 (or 506541 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 4003431328 is about 63272.6744179508. The cubic root of 4003431328 is about 1587.8548300442.

The spelling of 4003431328 in words is "four billion, three million, four hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1976 3952 7904 506507 1013014 2026028 4052056 6584591 8104112 9623633 13169182 16208224 19247266 26338364 38494532 52676728 76989064 105353456 125107229 153978128 210706912 250214458 307956256 500428916 1000857832 2001715664 4003431328